Atkin-Lehner |
2- 3- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
40128ce |
Isogeny class |
Conductor |
40128 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-2477141568 = -1 · 26 · 33 · 11 · 194 |
Discriminant |
Eigenvalues |
2- 3- -2 0 11- -6 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,276,-1530] |
[a1,a2,a3,a4,a6] |
Generators |
[9:42:1] |
Generators of the group modulo torsion |
j |
36198994112/38705337 |
j-invariant |
L |
5.5400067316648 |
L(r)(E,1)/r! |
Ω |
0.78358496587131 |
Real period |
R |
2.3566926255423 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40128bf1 20064a4 120384cy1 |
Quadratic twists by: -4 8 -3 |